a jet plane traveling at 550 mph overtakes a propeller plane traveling at 250 mph that had a 5 hour head start, how far from the starting points are the planes

Question

math word problem

Answer 1

d=rt

d=550t (jet)

d=250(t+5) (propeller)

set them equal because they both equal d

550t=250(t+5)

550t=250t+1250

550t-250t=1250

300t=1250

t=1250/300

t=125/30

t=4 1/6 hours

d=550*4 1/6

d=550*(25/6)

d=13,750/6

d=2291 2/3 miles or 2291.666... miles

or...

t+5=9 1/6 hours

(9 1/6)*250=(55/6)*250=13,750/6=2291.666...miles again